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223132340000 = 255479141223
BaseRepresentation
bin1100111111001110111…
…0010100111100100000
3210022221110212022102202
43033303232110330200
512123433334340000
6250301112232332
722056266411333
oct3176356247440
9708843768382
10223132340000
11866a2430669
12372b269b6a8
131806c935c1b
14ab2a3bc61a
155c0e1c5dd5
hex33f3b94f20

223132340000 has 120 divisors (see below), whose sum is σ = 555891557760. Its totient is φ = 88122528000.

The previous prime is 223132339961. The next prime is 223132340017. The reversal of 223132340000 is 43231322.

It is a super-3 number, since 3×2231323400003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1509389 + ... + 1650611.

It is an arithmetic number, because the mean of its divisors is an integer number (4632429648).

Almost surely, 2223132340000 is an apocalyptic number.

223132340000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223132340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277945778880).

223132340000 is an abundant number, since it is smaller than the sum of its proper divisors (332759217760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223132340000 is an equidigital number, since it uses as much as digits as its factorization.

223132340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141332 (or 141309 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 223132340000 its reverse (43231322), we get a palindrome (223175571322).

The spelling of 223132340000 in words is "two hundred twenty-three billion, one hundred thirty-two million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 79 80 100 125 158 160 200 250 316 395 400 500 625 632 790 800 1000 1250 1264 1580 1975 2000 2500 2528 3160 3950 4000 5000 6320 7900 9875 10000 12640 15800 19750 20000 31600 39500 49375 63200 79000 98750 141223 158000 197500 282446 316000 395000 564892 706115 790000 1129784 1412230 1580000 2259568 2824460 3530575 4519136 5648920 7061150 11156617 11297840 14122300 17652875 22313234 22595680 28244600 35305750 44626468 55783085 56489200 70611500 88264375 89252936 111566170 112978400 141223000 176528750 178505872 223132340 278915425 282446000 353057500 357011744 446264680 557830850 564892000 706115000 892529360 1115661700 1394577125 1412230000 1785058720 2231323400 2789154250 2824460000 4462646800 5578308500 6972885625 8925293600 11156617000 13945771250 22313234000 27891542500 44626468000 55783085000 111566170000 223132340000